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1·The growth of RF aerogel fractals was simulated by computer.

采用分形概念对RF气凝胶的生长过程进行了计算机模拟。

2·With the same method, the higher order fractals can be defined.

用同样方法可以定义更高阶的分形。

3·Finally, fractals in strengths of damaged materials are studied.

进而讨论了损伤材料强度中的分形。

4·There are many applications of fractals in logging interpretation.

单一分形在测井解释方面已有许多应用。

5·This is a version of one of the best known fractals, the Julia set.

这是最著名的的分形朱莉娅集（Julia set）的一个版本。 分形这一概念是曼德布罗特(B.B.Mandelbort)最先提出来的。

6·Basic notions of dynamical systems. Bifurcations, chaos, fractals, maps...

动力系统的基本概念。分歧，混沌，不规则，映射。

7·Fractals has been a very important branch in modern science since it arose.

分形学自问世以来，已成为近代科学中一个十分重要的分支。

8·The work in this thesis can explain qualitatively the fractals of DNA sequences.

本论文的研究工作可以定性地解释DNA序列的分形现象。

9·Diffusion probability density function in fractals is described by stable distribution.

物质在分形结构中的扩散密度分布函数属于稳定分布。

10·In the fractals pictured above, points that are very close together can be different colors.

在以上不规则描绘里，必须接近的点可以是不同颜色。

碎形

1·The paintings created by our branch contraption suggested to me that the seemingly random swirls in Pollock's paintings might also possess some subtle order, that they might in fact be fractals.

我们的树枝画暗示帕洛克绘画中看似无序的涡漩，或许也含有某种微妙规则，说不定它们还可能是碎形！

(1)fractal dimension分形维数；碎形維度

(1)fractal geometry[数]分形几何；碎形几何；不规则碎片几何体